35p^2+33pq-2q^2=0

Solution for 35p^2+33pq-2q^2=0 equation:

Simplifying
35p2 + 33pq + -2q2 = 0

Reorder the terms:
33pq + 35p2 + -2q2 = 0

Solving
33pq + 35p2 + -2q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(35p + -2q)(p + q) = 0

Subproblem 1
Set the factor '(35p + -2q)' equal to zero and attempt to solve:

Simplifying
35p + -2q = 0

Solving
35p + -2q = 0

Move all terms containing p to the left, all other terms to the right.

Add '2q' to each side of the equation.
35p + -2q + 2q = 0 + 2q

Combine like terms: -2q + 2q = 0
35p + 0 = 0 + 2q
35p = 0 + 2q
Remove the zero:
35p = 2q

Divide each side by '35'.
p = 0.05714285714q

Simplifying
p = 0.05714285714q
Subproblem 2
Set the factor '(p + q)' equal to zero and attempt to solve:

Simplifying
p + q = 0

Solving
p + q = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1q' to each side of the equation.
p + q + -1q = 0 + -1q

Combine like terms: q + -1q = 0
p + 0 = 0 + -1q
p = 0 + -1q
Remove the zero:
p = -1q

Simplifying
p = -1q
Solution
p = {0.05714285714q, -1q}